Considering that there’s a small but non zero chance of surviving getting ran over by a train some of them are gonna survive this and since there are infinite people that will result in infinite train-proof people spawning machine
with the extra requirement that the probability applies to the whole set I think it checks out, intuitively anyway the expected ~0.0…01 * ∞ is still ∞, but idrk, my maths sucks
In this particular case it would still be infinite train proof people. But consider the infinite set of natural numbers. If the train killed only left handed people, you should still be left with infinite train proof right handed people. If, however you ran another train through the set that killed right handed people you would be left with no train proof people. In actual fact, though, the infinite set of “people killed by a train” is probably 100%.
While true, my point was that this is a thought experiment to show that subtracting infinite countable sets from infinite countable sets does not leave you necessarily with an infinite countable set.
Considering that there’s a small but non zero chance of surviving getting ran over by a train some of them are gonna survive this and since there are infinite people that will result in infinite train-proof people spawning machine
I was actually told this is not how infinite sets work. But I didn’t get an actual explanation beyond that.
with the extra requirement that the probability applies to the whole set I think it checks out, intuitively anyway the expected ~0.0…01 * ∞ is still ∞, but idrk, my maths sucks
In this particular case it would still be infinite train proof people. But consider the infinite set of natural numbers. If the train killed only left handed people, you should still be left with infinite train proof right handed people. If, however you ran another train through the set that killed right handed people you would be left with no train proof people. In actual fact, though, the infinite set of “people killed by a train” is probably 100%.
Well, infinite left-hand-killing-train proof people, we don’t know about other trains.
While true, my point was that this is a thought experiment to show that subtracting infinite countable sets from infinite countable sets does not leave you necessarily with an infinite countable set.